Results 21 to 30 of about 392,803 (276)
Approximate roots of a valuation and the Pierce-Birkhoff Conjecture [PDF]
, 2012 This paper is a step in our program for proving the Piece-Birkhoff Conjecture for regular rings of any dimension (this would contain, in particular, the classical Pierce-Birkhoff conjecture which deals with polynomial rings over a real closed field).
D. Schaub +4 more
core +8 more sources
Al-Rafidain Journal of Computer Sciences and Mathematics, 2010 A right module M is called Wnil-injective if for any 0 ¹ a Î N( R ), there exists a positive integer n such that an ¹ 0 and any right R-homomorphism f : anR ® M can be extended to R ® M.
Raida Mahmood, Husam Mohammad
doaj +1 more source
Al-Rafidain Journal of Computer Sciences and Mathematics, 2019 An ideal K of a ring R is called right (left) generalized pure (GP -ideal) if for every a ∈ K, there exists m ∈ Z+, and b ∈ K such that am = am b ( am = b am) . A ring R is called MLGP-ring if every right maximal ideal is left GP-ideal.
Raida mahmood, Ebtehal Mageed
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The Neutrosophic Regular and Most Important Properties that Bind Neutrosophic Ring Elements [PDF]
Neutrosophic Sets and Systems, 2023 This research has broadened the definition of the neutrosophic regular in neutrosophic rings, similar to what is known in classical rings. We have studied the properties of neutrosophic regular elements and the most important properties that link them to
Murhaf Riad Alabdullah
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Regular Rings and Integral Extension of a Regular Ring [PDF]
Proceedings of the American Mathematical Society, 1972 In this paper we show that a ring (not necessarily commutative) with identity element and without nonzero nilpotent elements is a von Neumann regular ring if every completely prime ideal is a maximal right ideal. Using this result, we show an integral extension (not necessarily commutative) without nonzero nilpotent elements of a regular ring is itself
openaire +2 more sources
Regular overrings of regular local rings [PDF]
Transactions of the American Mathematical Society, 1972 The local factorization theorem of Zariski and Abhyankar characterizes all 2 2 -dimensional regular local rings which lie between a given 2 2 -dimensional regular local ring R R and its quotient field as finite quadratic transforms of R R .
openaire +1 more source
Trivial Extension of π-Regular Rings [PDF]
Engineering and Technology Journal, 2016 In this paper we investigate if it is possible that the trivial extension ring T(R,R) inherit the properties of the ring R and present the relationship between the trivial extension T(R,M) of a ring R by an R-module M and theπ-regularity of Rby taking ...
Areej M. Abduldaim
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Al-Rafidain Journal of Computer Sciences and Mathematics, 2014 A ring R is called local ring if it has exactly one maximal ideal. In this paper, we introduce some characterization and basic properties of this ring. Also, we studied the relation between local rings and Von Neumann regular rings and strongly regular ...
Zubayda Ibraheem, Anees Fthee
doaj +1 more source
International Journal of Mathematics and Mathematical Sciences, 2002 Let R be a ring. The circle operation is the operation a∘b=a+b−ab, for all a,b∈R. This operation gives rise to a semigroup called the adjoint semigroup or circle semigroup of R. We investigate rings in which the adjoint semigroup is regular. Examples are
Henry E. Heatherly, Ralph P. Tucci
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The Prime Spectra of Regular Rings [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2007 In this work, we study the prime spectrum of regular rings. Also we study some topological concepts as quasi-compact, compact, totally disconnected, and irreducible topological space in order to prove some new results on the prime spectrum of regular ...
Nazar Shuker +2 more
doaj +1 more source